What is the profit earned by selling a watch for ? 15675?
I. Total cost price of 5 such watches is equal to selling price of 4 such watches.
II 25 % profit is earned by selling each watch.

Options

A. If the Statement I alone is sufficient to answer the question but the Statement II alone is not sufficient
B. If the Statement II alone is sufficient to answer the question but the Statement alone is not sufficient
C. If both the Statements I and II together are needed to answer the question
D. If either the Statement I alone or Statement II alone is sufficient to answer the question

Answer

To determine the profit earned by selling a watch for Rs. 15675, we will analyze the two statements provided.

### Step 1: Analyze Statement I
Statement I states that the total cost price of 5 such watches is equal to the selling price of 4 such watches.

Let:
- Cost Price (CP) of 1 watch = x
- Selling Price (SP) of 1 watch = 15675

From Statement I:
- Total Cost Price of 5 watches = 5x
- Total Selling Price of 4 watches = 4 * 15675 = 62700

According to the statement:
\[ 5x = 62700 \]

Now, we can solve for x (the cost price of one watch):
\[ x = \frac{62700}{5} = 12540 \]

### Step 2: Calculate Profit
Now that we have the cost price of one watch (CP = 12540), we can calculate the profit.

Profit is given by:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 15675 - 12540 = 3125 \]

### Conclusion from Statement I
Thus, from Statement I alone, we can determine that the profit earned by selling the watch is Rs. 3125.

### Step 3: Analyze Statement II
Statement II states that a 25% profit is earned by selling each watch.

To find the cost price using this statement:
Let the cost price of one watch be y.

According to Statement II:
\[ \text{Selling Price} = \text{Cost Price} + 25\% \text{ of Cost Price} \]
\[ 15675 = y + 0.25y \]
\[ 15675 = 1.25y \]

Now, we can solve for y (the cost price of one watch):
\[ y = \frac{15675}{1.25} = 12540 \]

### Step 4: Calculate Profit Again
Now that we have the cost price from Statement II (CP = 12540), we can calculate the profit again.

Profit is given by:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 15675 - 12540 = 3125 \]

### Conclusion from Statement II
Thus, from Statement II alone, we can also determine that the profit earned by selling the watch is Rs. 3125.

### Final Conclusion
Both statements I and II are sufficient on their own to determine the profit earned by selling the watch.

### Answer
The profit earned by selling the watch is Rs. 3125.

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